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Search: id:A001453
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| A001453 |
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Catalan numbers - 1.
(Formerly M3464 N1409)
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+0
13
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| 1, 4, 13, 41, 131, 428, 1429, 4861, 16795, 58785, 208011, 742899, 2674439, 9694844, 35357669, 129644789, 477638699, 1767263189, 6564120419, 24466267019, 91482563639, 343059613649, 1289904147323, 4861946401451, 18367353072151
(list; graph; listen)
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OFFSET
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2,2
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REFERENCES
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Baer, R. M.; Brock, P.; Natural sorting over permutation spaces. Math. Comp. 22 1968 385-410.
J. M. Hammersley, A few seedings of research, in Proc. Sixth Berkeley Sympos. Math. Stat. and Prob., ed. L. M. le Cam et al., Univ. Calif. Press, 1972, Vol. I, pp. 345-394.
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FORMULA
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sum(binomial(n-1,j-1)*binomial(n,j-1)/j,j=2..n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 31 2006
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MAPLE
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with(combstruct):bin := {B=Union(Z, Prod(B, B))}: seq (count([B, bin, unlabeled], size=n)-1, n=3..27); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 05 2007
(Mupad) combinat::dyckWords::count(n)-1 $ n = 2..26; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2008
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CROSSREFS
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Cf. A000108, A001454. A column of A047874.
Sequence in context: A070428 A052529 A049222 this_sequence A141364 A005002 A085507
Adjacent sequences: A001450 A001451 A001452 this_sequence A001454 A001455 A001456
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 08 2000
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